Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.2 5.7 6.7 4.5 6.3 5.9 5.4 6.4 4.9 5.9 4.3 7.2 4.7 5.4 5.9 5.5 6.4 6.7 5.7 5.3 6.3 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O H: H, = H2 = H3i H,: At least two means are equal. O H: H = H, = H3i H,: Exactly two means are equal. O H,: H, = H, = Hzi H,: Not all the means are equal. O H: H, = H2 = Hai H,: All three means are different. (b) Find SSTop SS BET, and SSw and check that SS707 = SS BET + SSw (Use 3 decimal places.) SSTOT= SS BET= SSw= BET d.f. w MS BET and MSw (Use 4 decimal places for MS BET and MSwr) df BET dfw = MS BET Find d.f MSw=
Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.2 5.7 6.7 4.5 6.3 5.9 5.4 6.4 4.9 5.9 4.3 7.2 4.7 5.4 5.9 5.5 6.4 6.7 5.7 5.3 6.3 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O H: H, = H2 = H3i H,: At least two means are equal. O H: H = H, = H3i H,: Exactly two means are equal. O H,: H, = H, = Hzi H,: Not all the means are equal. O H: H, = H2 = Hai H,: All three means are different. (b) Find SSTop SS BET, and SSw and check that SS707 = SS BET + SSw (Use 3 decimal places.) SSTOT= SS BET= SSw= BET d.f. w MS BET and MSw (Use 4 decimal places for MS BET and MSwr) df BET dfw = MS BET Find d.f MSw=
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
![Content
A Math 2250 Unit 4 Post Test Re X
b My Questions | bartleby
x +
webassign.net/web/Student/Assignment-Responses/last?dep=24515412
Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species
of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples
of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below.
I
II
III
5.2
5.7
6.7
4.5
6.3
5.9
5.4
6.4
4.9
5.9
4.3
7.2
4.7
5.4
5.9
5.5
6.4
6.7
5.7
5.3
6.3
Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
Hoi H1 = H2=Hz; H;:
: At least two means are equal.
Ho: H1 = H2 = l3; H;: Exactly two means are equal.
Ho: H1 = H2 = l3; H;: Not all the means are equal.
Ho: H1 = H2 = µ3; H,: All three means are different.
(b) Find SSTOT SS BET' and SS
and check that SSTOT
= SS
BET
+ SSw. (Use 3 decimal places.)
M,
SS TOT
SS
BET
S,
%3D
Find d.f. BET
d.f. w'
MS,
BET, and MS,w: (Use 4 decimal places for MS
ВЕT
and MS w:)
df.
ВЕТ
df,
W
MS
ВЕТ
%D
MS
Find the value of the sample F statistic. (Use 2 decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f570524-1dae-4658-ab6a-e0258271edb8%2Fabd0dcd1-a2b0-478e-8c9c-b0b365ec5d31%2F5cl7h8f_processed.png&w=3840&q=75)
Transcribed Image Text:Content
A Math 2250 Unit 4 Post Test Re X
b My Questions | bartleby
x +
webassign.net/web/Student/Assignment-Responses/last?dep=24515412
Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species
of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples
of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below.
I
II
III
5.2
5.7
6.7
4.5
6.3
5.9
5.4
6.4
4.9
5.9
4.3
7.2
4.7
5.4
5.9
5.5
6.4
6.7
5.7
5.3
6.3
Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
Hoi H1 = H2=Hz; H;:
: At least two means are equal.
Ho: H1 = H2 = l3; H;: Exactly two means are equal.
Ho: H1 = H2 = l3; H;: Not all the means are equal.
Ho: H1 = H2 = µ3; H,: All three means are different.
(b) Find SSTOT SS BET' and SS
and check that SSTOT
= SS
BET
+ SSw. (Use 3 decimal places.)
M,
SS TOT
SS
BET
S,
%3D
Find d.f. BET
d.f. w'
MS,
BET, and MS,w: (Use 4 decimal places for MS
ВЕT
and MS w:)
df.
ВЕТ
df,
W
MS
ВЕТ
%D
MS
Find the value of the sample F statistic. (Use 2 decimal places.)
![Content
W Math 2250 Unit 4 Post Test Re X
b My Questions | bartleby
x +
->
webassign.net/web/Student/Assignment-Responses/last?dep=24515412
Find the value of the sample F statistic. (Use 2 decimal places.)
What are the degrees of freedom?
(numerator)
(denominator)
(c) Find the P-value of the sample test statistic.
P-value > 0.100
0.050 < P-value < 0.100
0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.001 < P-value < 0.010
P-value < 0.001
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
0.05, we do not reject Ho:
Since the P-value is greater than the level of significance at a =
Since the P-value is less than or equal to the level of significance at a =
0.05, we reject Ho.
Since the P-value is greater than the level of significance at a =
0.05, we reject Ho.
Since the P-value is less than or equal to the level of significance at a =
0.05, we do not reject Ho:
(e) Interpret your conclusion in the context of the application.
O At the 5% level of significance there is insufficient evidence to conclude that the means are not all equal.
At the 5% level of significance there is sufficient evidence to conclude that the means are all equal.
At the 5% level of significance there is insufficient evidence to conclude that the means are all equal.
At the 5% level of significance there is sufficient evidence to conclude that the means are not all equal.
(f) Make a summary table for your ANOVA test.
Degrees of
Freedom
Source of
Sum of
F
Test
MS
P Value
Variation
Squares
Ratio
Decision
Between groups
---Select---
---Select---
Within groups
Total](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f570524-1dae-4658-ab6a-e0258271edb8%2Fabd0dcd1-a2b0-478e-8c9c-b0b365ec5d31%2Fmxqk1mt_processed.png&w=3840&q=75)
Transcribed Image Text:Content
W Math 2250 Unit 4 Post Test Re X
b My Questions | bartleby
x +
->
webassign.net/web/Student/Assignment-Responses/last?dep=24515412
Find the value of the sample F statistic. (Use 2 decimal places.)
What are the degrees of freedom?
(numerator)
(denominator)
(c) Find the P-value of the sample test statistic.
P-value > 0.100
0.050 < P-value < 0.100
0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.001 < P-value < 0.010
P-value < 0.001
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
0.05, we do not reject Ho:
Since the P-value is greater than the level of significance at a =
Since the P-value is less than or equal to the level of significance at a =
0.05, we reject Ho.
Since the P-value is greater than the level of significance at a =
0.05, we reject Ho.
Since the P-value is less than or equal to the level of significance at a =
0.05, we do not reject Ho:
(e) Interpret your conclusion in the context of the application.
O At the 5% level of significance there is insufficient evidence to conclude that the means are not all equal.
At the 5% level of significance there is sufficient evidence to conclude that the means are all equal.
At the 5% level of significance there is insufficient evidence to conclude that the means are all equal.
At the 5% level of significance there is sufficient evidence to conclude that the means are not all equal.
(f) Make a summary table for your ANOVA test.
Degrees of
Freedom
Source of
Sum of
F
Test
MS
P Value
Variation
Squares
Ratio
Decision
Between groups
---Select---
---Select---
Within groups
Total
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman